

A140626


Primes of the form 51x^2+48xy+56y^2.


1



59, 179, 659, 971, 1019, 1091, 1571, 1931, 1979, 2339, 2459, 2579, 2939, 3251, 3299, 3371, 3491, 3851, 4019, 4211, 4259, 4931, 5171, 5531, 5651, 6131, 6299, 6491, 6779, 6899, 7019, 7211, 7451, 7499, 7691, 8819, 9059, 9419, 9491, 10091
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OFFSET

1,1


COMMENTS

Discriminant=9120. Also primes of the form 59x^2+4xy+116y^2.
In base 12, the sequence is 4E, 12E, 46E, 68E, 70E, 76E, XXE, 114E, 118E, 142E, 150E, 15XE, 184E, 1X6E, 1XXE, 1E4E, 202E, 228E, 23XE, 252E, 256E, 2X2E, 2EXE, 324E, 332E, 366E, 378E, 390E, 3E0E, 3EXE, 408E, 420E, 438E, 440E, 454E, 512E, 52XE, 554E, 55XE, 5X0E, where X is 10 and E is 11. Moreover, the discriminant is 5340.  Walter Kehowski, Jun 01 2008


LINKS

Vincenzo Librandi and Ray Chandler, Table of n, a(n) for n = 1..10000 [First 1000 terms from Vincenzo Librandi]
N. J. A. Sloane et al., Binary Quadratic Forms and OEIS (Index to related sequences, programs, references)


MATHEMATICA

Union[QuadPrimes2[51, 48, 56, 10000], QuadPrimes2[51, 48, 56, 10000]] (* see A106856 *)


CROSSREFS

Cf. A140633.
Sequence in context: A279099 A142799 A250025 * A160681 A142857 A142064
Adjacent sequences: A140623 A140624 A140625 * A140627 A140628 A140629


KEYWORD

nonn,easy


AUTHOR

T. D. Noe, May 19 2008


EXTENSIONS

Corrected and extended bfile  Ray Chandler, Aug 02 2014


STATUS

approved



